A PRACTICAL ALGORITHM FOR NUMERICAL DETERMINATION OF PERIODICAL REGIMES IN NONLINEAR OSCILLATORS

DOI10.1108/EB010022zbMath0634.65060OpenAlexW2048697556MaRDI QIDQ3773212

Y. A. Saet, G. L. Viviani

Publication date: 1986

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/eb010022

zbMATH Keywords

collocation methodnonlinear oscillatorsvan der Pol equationautonomous systemsNumerical examplesperiodic self-oscillationsnonlinear Lienard equationself-oscillation periods

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Multi-stable periodical devices with variations on the theme of Van der Pol
• Galerkin's procedure for nonlinear periodic systems
• Nonlinear autonomous oscillations. Analytical theory
• Numerical computation of nonlinear forced oscillations by Galerkin's procedure
• The number of small-amplitude limit cycles of Liénard equations
• On the existence of N periodic solutions of Liénard's equation
• Birhythmicity, chaos, and other patterns of temporal self-organization in a multiply regulated biochemical system.
• Implicit Numerical Integration for Periodic Solutions of Autonomous Nonlinear Systems
• Further Periodic Solutions of the van der Pol Equation and Its Application to Waveform Generation

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